If X is a countable product of spaces having countable dense subsets, then X has a countable dense subset.

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Answer 1

Question

Chapter 4.30, Problem 10E

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If X is a countable product of spaces having countable dense subsets, then X has a countable dense subset.

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Answer 2

Question

Chapter 4.30, Problem 10E

To determine

To show:

If X is a countable product of spaces having countable dense subsets, then X has a countable dense subset.

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Answer 3

Question

Chapter 4.30, Problem 10E

To determine

To show:

If X is a countable product of spaces having countable dense subsets, then X has a countable dense subset.

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Answer 4

Question

Chapter 4.30, Problem 10E

To determine

To show:

If X is a countable product of spaces having countable dense subsets, then X has a countable dense subset.

Expert Solution & Answer

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Answer 5

Chapter 4.30, Problem 10E

To determine

To show:

If X is a countable product of spaces having countable dense subsets, then X has a countable dense subset.

Answer 6

Chapter 4.30, Problem 10E

To determine

To show:

If X is a countable product of spaces having countable dense subsets, then X has a countable dense subset.

Answer 7

Chapter 4.30, Problem 10E

To determine

To show:

If X is a countable product of spaces having countable dense subsets, then X has a countable dense subset.

Answer 8

Expert Solution & Answer

Answer 9

Expert Solution & Answer

Answer 10

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Answer 11

Ch. 4.30 - Show that l and I02 are not metrizable.Ch. 4.30 - Which of our four countability axioms does S...Ch. 4.30 - Which of our four countability axioms does in the...Ch. 4.30 - Let A be a closed subspace of X. Show that if X is...Ch. 4.30 - Prob. 10E Ch. 4.30 - Let f:XY be continuous. Show that if X is...Ch. 4.30 - Let f:XY be continuous open map. Show that if X...Ch. 4.30 - Show that if X has a countable dense subset, every...Ch. 4.30 - Show that if X is Lindelof and Y is compact, then...Ch. 4.30 - Give I the uniform metric, where I=[0,1]. Let...

If X is a countable product of spaces having countable dense subsets, then X has a countable dense subset.

To show: If X is a countable product of spaces having countable dense subsets, then X has a countable dense subset.

Want to see the full answer?

Chapter 4 Solutions

To show:

If X is a countable product of spaces having countable dense subsets, then X has a countable dense subset.